Critical speeds and buckling loads of a pre-twisted rotor

A. C. Wijeyewickrema, L. M. Keer

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The equations of motion of a pre-twisted rotor subjected to a compressive axial load have been derived by including the effects of transverse shear, rotatory inertia and gyroscopic moments to model material removal systems which have external flutes. The finite element method is used to obtain a system of ordinary differential equations. C0-compatible finite elements are used to obtain the critical speeds and buckling loads for different helix angles, flute lengths and drill diameters for various support conditions. The critical speeds decrease with increasing compressive axial load. The lowest mode is associated with a critical thrust force which corresponds to a zero critical speed. This critical thrust force is the buckling load of the lowest mode of the nonrotating pre-twisted rotor.

Original languageEnglish (US)
Pages (from-to)109-129
Number of pages21
JournalJournal of Sound and Vibration
Issue number1
StatePublished - Jan 7 1995

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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